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422444401013034 = 23261422819099593
BaseRepresentation
bin110000000001101100000000…
…0011101011011000100101010
32001101202021211122111000011200
41200003120000131123010222
5420332312113124404114
64054244140110105030
7154660413032522031
oct14003300035330452
92041667748430150
10422444401013034
111126707342a6104
123b46867b1ab176
131519444a4b285a
1476465bd3c5718
1533c8b3590b409
hex180360075b12a

422444401013034 has 48 divisors (see below), whose sum is σ = 930323163022344. Its totient is φ = 138503069913600.

The previous prime is 422444401013021. The next prime is 422444401013069. The reversal of 422444401013034 is 430310104444224.

422444401013034 is a `hidden beast` number, since 4 + 2 + 2 + 44 + 440 + 10 + 130 + 34 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 420793548642009 + 1650852371025 = 20513253^2 + 1284855^2 .

It is a super-2 number, since 2×4224444010130342 (a number of 30 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 422444401013034.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 41874742 + ... + 50974334.

Almost surely, 2422444401013034 is an apocalyptic number.

422444401013034 is an abundant number, since it is smaller than the sum of its proper divisors (507878762009310).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

422444401013034 is a wasteful number, since it uses less digits than its factorization.

422444401013034 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9141943 (or 9141940 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 36.

Adding to 422444401013034 its reverse (430310104444224), we get a palindrome (852754505457258).

The spelling of 422444401013034 in words is "four hundred twenty-two trillion, four hundred forty-four billion, four hundred one million, thirteen thousand, thirty-four".

Divisors: 1 2 3 6 9 18 61 122 183 366 549 1098 42281 84562 126843 253686 380529 761058 2579141 5158282 7737423 9099593 15474846 18199186 23212269 27298779 46424538 54597558 81896337 163792674 555075173 1110150346 1665225519 3330451038 4995676557 9991353114 384739891633 769479783266 1154219674899 2308439349798 3462659024697 6925318049394 23469133389613 46938266779226 70407400168839 140814800337678 211222200506517 422444401013034